Crowding at the Front of the Marathon Packs

Details Crowding at the Front of the Marathon Packs Crowding at the Front of the Marathon Packs

2008-02-12

arxiv.org/abs/0802.1702v2

J. Stat. Mech. (2008) L03001

Physics

Data Analysis, Statistics and Probability

5 pages, 2 figures; version 2: published manuscript with various changes in response to referee comments and some additional i

Scientific paper

10.1088/1742-5468/2008/03/L03001

We study the crowding of near-extreme events in the time gaps between successive finishers in major international marathons. Naively, one might expect these gaps to become progressively larger for better-placing finishers. While such an increase does indeed occur from the middle of the finishing pack down to approximately 20th place, the gaps saturate for the first 10-20 finishers. We give a probabilistic account of this feature. However, the data suggests that the gaps have a weak maximum around the 10th place, a feature that seems to have a sociological origin.

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